Refactor integration tests infrastructure (#37462)

Co-authored-by: Claude (Opus 4.7) <noreply@anthropic.com>
Co-authored-by: wxiaoguang <wxiaoguang@gmail.com>

.github/workflows/pull-e2e-tests.yml

@@ -39,10 +39,13 @@ jobs:
       - run: make deps-frontend
       - run: make frontend
       - run: make deps-backend
-      - run: make gitea-e2e
+      - run: make backend
+        env:
+          TAGS: bindata sqlite sqlite_unlock_notify
       - run: make playwright
       - run: make test-e2e
         timeout-minutes: 10
         env:
+          TAGS: bindata sqlite sqlite_unlock_notify
           FORCE_COLOR: 1
           GITEA_TEST_E2E_DEBUG: 1